# Quantum X-waves in nonlinear media.

Ornigotti M., Conti C., Szameit A.

Comunicazione
II - Fisica della materia
GSSI Ex ISEF - Aula C - Giovedì 26 h 09:00 - 12:30
In this work, we present a complete and consistent quantum theory of orbital angular momentum (OAM) carrying X-waves propagating in nonlinear dispersive media, $i.e.$, twisted solutions of Maxwell's equations, which exhibit neither dispersion nor diffraction, during propagation. As an example of application of our formalism, we discuss explicitly the case of squeezing in chi2-media. Our findings reveal that the OAM carried by the X-wave regulates which quadrature of the field is squeezed, while the X-wave velocity regulates the amount of squeezing. In particular, we show that there exists an optimal velocity that maximises the squeezing.